In: Advanced Math
For the following exercises, graph the inequality.
y > x2 − 1
Consider the following inequality
y > x2 - 1
First, graph the corresponding equation y > x2 - 1. Since y > x2 – 1 has a greater than symbol, draw the graph with a dashed line. Then choose points to test both inside and outside the parabola. Let’s test the points (-1, 5) and (3, 4). One point is clearly inside the parabola and the other point is clearly outside as shown in the following graph of the inequality: